What is the Least Common Multiple of 44948 and 44953?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 44948 and 44953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44948 and 44953, than apply into the LCM equation.

GCF(44948,44953) = 1
LCM(44948,44953) = ( 44948 × 44953) / 1
LCM(44948,44953) = 2020547444 / 1
LCM(44948,44953) = 2020547444

Least Common Multiple (LCM) of 44948 and 44953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44948 and 44953. First we will calculate the prime factors of 44948 and 44953.

Prime Factorization of 44948

Prime Factorization of 44953

Now multiplying the highest exponent prime factors to calculate the LCM of 44948 and 44953.

LCM(44948,44953) = 2² × 17¹ × 661¹ × 44953¹
LCM(44948,44953) = 2020547444